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Finding the Fourth Proportional to 1,455.64, 2,182.32 and 676.12

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Solution

The fourth proportional to 1,455.64, 2,182.32 and 676.12 is: 1,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.64 : 2,182.32 = 676.12 : x
  2. Step 2: Convert to fraction form
    1,455.64/2,182.32 = 676.12/x
  3. Step 3: Cross multiply
    1,455.64x = 2,182.32 × 676.12
  4. Step 4: Simplify right side
    1,455.64x = 1,475,510.20
  5. Step 5: Solve for x
    x = 1,475,510.20/1,455.64
  6. Step 6: Final answer
    x = 1,013.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.